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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 825*（1+（（90-116）/116*0.5+（1880-1734）/1734*0.5）*0.4) = X .
    Question type: Equation
    Solution:Original question:
     825(1 + ((90 − 116) ÷ 116 ×
1
2
 + (1880 − 1734) ÷ 1734 ×
1
2
) ×
2
5
) = X
    Remove the bracket on the left of the equation:
     Left side of the equation = 825 × 1 + 825((90 − 116) ÷ 116 ×
1
2
 + (1880 − 1734) ÷ 1734 ×
1
2
) ×
2
5
                                             = 825 + 330((90 − 116) ÷ 116 ×
1
2
 + (1880 − 1734) ÷ 1734 ×
1
2
)
                                             = 825 + 330(90 − 116) ÷ 116 ×
1
2
 + 330(1880 − 1734) ÷ 1734 ×
1
2
                                             = 825 +
165
116
(90 − 116) +
55
578
(1880 − 1734)
                                             = 825 +
165
116
 × 90 −
165
116
 × 116 +
55
578
(1880 − 1734)
                                             = 825 +
7425
58
 − 165 +
55
578
(1880 − 1734)
                                             =
45705
58
 +
55
578
(1880 − 1734)
                                             =
45705
58
 +
55
578
 × 1880 −
55
578
 × 1734
                                             =
45705
58
 +
51700
289
 − 165
                                             =
13441615
16762
    The equation is transformed into :
     
13441615
16762
 = X

    Transposition :
      - X = -
13441615
16762

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
13441615
16762
 = X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
      X =
13441615
16762
    This is the solution of the equation.
    This is the solution of the equation.



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